{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn import  datasets, cross_validation, ensemble"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用sklearn自带的糖尿病数据\n",
    "def load_data():\n",
    "    diabetes = datasets.load_diabetes()\n",
    "    return cross_validation.train_test_split(diabetes.data,diabetes.target,test_size=0.25,random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Traing score:0.8784713882091157\n",
      "Testing score:0.217259055081654\n"
     ]
    }
   ],
   "source": [
    "def test_GBRT(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    gegr = ensemble.GradientBoostingRegressor()\n",
    "    gegr.fit(X_train,Y_train)\n",
    "    print('Traing score:{0}'.format(gegr.score(X_train,Y_train)))\n",
    "    print('Testing score:{0}'.format(gegr.score(X_test,Y_test)))\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 考个体回归树的数量对结果的影响\n",
    "def test_GBRT_num(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    nums = np.arange(1,200,step=2)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figwidth(10)\n",
    "    ax = fig.add_subplot(111)\n",
    "    traing_score=[]\n",
    "    testing_score=[]\n",
    "    for num in nums:\n",
    "        gegr = ensemble.GradientBoostingRegressor(n_estimators=num)\n",
    "        gegr.fit(X_train,Y_train)\n",
    "        traing_score.append(gegr.score(X_train,Y_train))\n",
    "        testing_score.append(gegr.score(X_test,Y_test))\n",
    "        \n",
    "    ## 绘图 \n",
    "    ax.plot(nums, traing_score,  label='Traing score')\n",
    "    ax.plot(nums, testing_score, label='Testing score')\n",
    "    ax.set_xlabel('estimator_num')\n",
    "    ax.set_ylabel('score')\n",
    "    ax.legend(loc='lower right')\n",
    "    ax.set_title('GradientBoostingRegressor')    \n",
    "    plt.show()\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_num(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 最大树深对结果的影响\n",
    "def test_GBRT_maxdepth(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    maxdepths = np.arange(1,20)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figwidth(15)\n",
    "    ax = fig.add_subplot(111)\n",
    "    traing_score=[]\n",
    "    testing_score=[]\n",
    "    for maxdepth in maxdepths:\n",
    "        clf = ensemble.GradientBoostingRegressor(max_depth=maxdepth)\n",
    "        clf.fit(X_train,Y_train)\n",
    "        traing_score.append(clf.score(X_train,Y_train))\n",
    "        testing_score.append(clf.score(X_test,Y_test))\n",
    "        \n",
    "    ## 绘图 \n",
    "    ax.plot(maxdepths, traing_score,  label='Traing score')\n",
    "    ax.plot(maxdepths, testing_score, label='Testing score')\n",
    "    ax.set_xlabel('maxdepth')\n",
    "    ax.set_ylabel('score')\n",
    "    ax.legend(loc='lower right')\n",
    "    ax.set_title('GradientBoostingRegressor')    \n",
    "    plt.show()\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_maxdepth(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3BpgZBh0elN1avbWNTTtbXkqrG3eGsu0VdWwrD54r6iiqrCe8j/+NnxAXQ0pCLCnxsSQlxAav44iJgZqGEGW1YeobwzQ0hWkIhakP+eeGUHhn11x8rJGWGEdaUhxpifGkJcaSm5ZAfm4qaYmxpCXGkZoYx7CsZMYNTGNMXhqZyfFd+g1E+hKFNhHp15xzFFbWs3xLBYWVdUELTojqoPWmsm7311X1IUJNjtTEWNKT4klPiiM9KY60xDjSk+KDZ/9Iio9lS1mdD2ZFvruu5SDtxLgYxuSlcdCwTJLiYimprqe4uoFV26vYUVVPfajt8Uj7khAXQ1piHCkJsaQmxJGaGEtqYhypCXGkJDYfi8M5P76qrKZxt26zstpGGvZSQ2ZyPIMzkhiUmcTEwekMykhiUEaSP5bhB5snJcSQkhBHcnxsl7qiwmFHk3PEd/Ogf5H+RqFNRPqNUJOfEbZ8awXLt1TsfC7eY0YYQHJ8bNCiExe04MQyPDuF9KS4nV11FXWNVNWH2FpeR1UwDqe6lYHkA9MTGZuXxmcOGcLYvDTGDkxjTG4qw7KS99oa5pyjpqGJ4qoGdlTXB2Om6imvbSTswDlw+HFSzef7Y/6zsHPUhZqoqW+iuj5EdUNoZ1diYUU9VfUhaoJjGDtnEmYmxzMmN42slHgyg2NZyfFkBQPUm8NZckLPLXUQE2PEoK5MkbYotIlIr1IfauKtNcV8vK0S8N2BMbarq7D5dXP3YGOTY3VhJcu3VPDxtsqdrVcJsTFMGJzG8ZMGMnlIBpOHZjI0K4n0pHhSE2I7vZRD8yDrqvoQNfUhBmUmkZHU8S46M/OtYsGAeRGRtii0iUjUldc08vKKQuYt3878lUUdXpohMzmeA4dmcNFRo5g8NIPJQzMYm5cWke622BgjMzleY6lEpMcptInITuW1jSzaWMqiDaUsWF+6c2HK1rSceR4TY4zITmHswFTGBd2DY/PSGJKZtNcZfJvLapm3bBvzPtrOO2tLCIUduWmJnH7oEE6aPJip+dnExcQQdg6H7w50Dgi6Bl1Qg5ntXFhTRKQ/U2gT2U8559hQXMOCnaugl7ByexXgW5MmD8lg2ugBxLQIQ3vmoua3jU1h1hfX8PjiLbstrJmSEMuYvFQ/zisvjdG5qawurGLe8u0s31oBwLiBaVxxzBhOnDyIKcOzujwjUkSkv1JoE+mj6hqb2FhSE6zcXc2WsrqdLU/NK7PHxNjO5SJizI8HczhWba9i0cZSdlT5AfrpSXEcPjKb0w8ZyhGjsjl0RBapiR3/z4NzjqKqetYUBkteBDMqF6wv5fHFWwAf/I4Ymc33Tz2AEycPYkxeWrf+LiIi/ZVCm0gvVh9qYm2RD2Xrgz3y1hf77VW2ltftdm56YhyxsUY4WJk97Bxht6tb0b/3x0blpHDMhDyOGJXN1FEDGD8wrVtauMyMgelJDExPYsbYnN0+q2kIsW5HNYMykshN6/qq6yIi+xuFNpFeJBx2LN9awZtrdvD66mLeXVe8296CuWkJjMpJZcbYHEbnpDIqN5X8nBRGDUglM6V3D4xPSYjjwKGZ0S5DRKTPUmgT6aJw2FFQWsvyrRUUlNaQm5boFyHN9AuRtrXe1aaSGl5fvYPXV+/grTXFlARrio0fmMZ5R47kiFHZjM5NZVROCumdWFpCRET6B4U2kQ6oaQixYlslH22t5KOtFXy01a8Ntq8lKjKS4hicuWs1+cGZvnvw422VvLF6x84ZmoMyEpkzMY9Z43KZOS6XQRlJPfVniYhIH6DQJtKK6no//mrtjmrWFlWxansVH22tYF1x9c4V6tMT4zhgSDqfO3wYk4ZkMGlIBqMGpFBS08D2cr9f49by3fdwXLm9cucejumJcRw1NofLZuYza3wuY/PStGyFiIjslUKb7LdCTWEKSmtZt8PPdFy3o5q1RdWs21HNtopdg/zNYER2CpOGpHPGlKFMGpLB5CEZDM9ObjVkZacmMHYfMyJDTWFKqhsYkJrQ6VX5RURk/6PQJv1eQyjMhuJqVhX6FrNVhZWsLqxibVE1DU27BvlnJsczJi+VmeNyGZOXypjcVEbnpZKfk0pSfPftwxgXG8NAdX2KiEgHKbRJv9AUduyoqmdLWS0FpbWsKqxidWElq7b7FrRQ2PdpNreajR+YxuyJeYzN8xt7j8lL06r6IiLSqym0SZ9QXtvI+h3VbC2vZWu5Hyu2payWbeW7xo01BzOAGINROamMG5jGSQcOYvzAdMYFWyu1NZtTRESkN4pqaDOzU4DfA7HAX5xzt+zx+UjgPiArOOd7zrmne7xQ6VH1oSY+3lrJ4k1lLNlUxuKCMtYWVe92TmJcDEMykxiSmcz00QMYkuVfD8lMYlh2crd3aYqIiERb1EKbmcUCtwEnAgXAe2Y21zm3vMVpPwIecc7dYWaTgaeB/B4vViLGOcf64hoWbyplyaZyFm8qY/mWip1jzfLSE5kyIovPHz6cCYPSGZKZxNCsZHVliojIfieaLW3TgNXOubUAZvYwcCbQMrQ5ICN4nQls6dEKpds1hR0fba3g7bXFvLOuhPfWl1BW0wj4zcUPHpbJpTPzmTIii0NHZDEkM0nhTEREhOiGtmHAphbvC4Dpe5xzE/C8mV0LpAIntHYhM7sSuBJg5MiR3V6odF6oKcyyLRW8s66Yd9aW8O76Eirr/EK0o3JSOGnyIA4fmc2UkVmMH5hObDfsfykiItIf9faJCOcD9zrnfmtmM4D7zewg51y45UnOubuAuwCmTp3qWrmORFh1fYgdVfXsqKqnqLKedTtqeGddMQvWl+7cLWBMbiqfOWQI00fnMH3MAIZkJke5ahERkb4jmqFtMzCixfvhwbGWvgycAuCce8vMkoBcoLBHKpSdGkJhXvp4O8u3VvpwVhkEtKp6dlQ2UNvY9InvjBuYxplThjJ9TA5HjR6gtclERES6IJqh7T1gvJmNxoe184AL9jhnI3A8cK+ZTQKSgKIerXI/V1Baw0PvbuSf7xWwo6oeM8hOSSAvLZHc9AQOH5lNbloieemJ5KYlkpuWQG5aIkOzkhmQmhDt8kVERPqNqIU251zIzK4BnsMv5/E359wyM7sZWOCcmwt8C7jbzL6Bn5RwiXNO3Z8R1hR2zF9ZyANvb+TlFb5R87iJA7nwqFHMGp9LvLZeEhER6XFRHdMWrLn29B7Hbmjxejkws6fr2l8VVtbxrwUF/OOdjWwuqyU3LZGr54zjvGkjGJ6dEu3yRERE9mu9fSKCRFg47Hh7bTEPvruR5z7cRijsOHpsDj84bRInHThIrWoiIiK9hELbfsg5x7ItFcxdsoUnlmxha3kdmcnxXHx0PhdMH8nYvLRolygiIiJ7UGjbj6zbUc3cxVt4fMlm1hZVExdjHDMhj++ecgCnHDRY2z6JiIj0Ygpt/dy28jqe/GALc5ds4YOCcsxgWv4AvjxrNKcdNIRszfAUERHpExTa+iHnHM8t2869b67jnXUlOAcHDcvgh6dN4jOHDtGitiIiIn2QQls/8+66Ev73mY94f2MZIwek8PXjxnPGlKEapyYiItLHKbT1Eyu2VfKrZz/mxY8LGZSRyC2fO5izjxhOnGZ/ioiI9AsKbX3clrJa/m/eSh5bVEBqQhzfPnkil80cTXKCJhWIiIj0JwptfVRZTQN3vLKGe95cDw4umzmaq48dp4kFIiIi/ZRCWx9T19jEvW+u5/aXV1NZH+Kzhw3jmydO0I4FIiIi/ZxCWx+yfEsFVz24kA3FNcyZ6NdXmzQkI9pliYiISA9QaOsj/vv+Zr737w/ITI7nwcunM3NcbrRLEhERkR6k0NbLNTaF+flTH3Hvm+uZNnoAf7rgMAamJ0W7LBEREelhCm29WGFlHdc8+D7vri/hspmj+f5pB2gDdxERkf2UQlsvtXBDCVc9sIiKukZ+f94UzpwyLNoliYiISBQptPUyzjkeeHsDNz+5nKFZydx32TRNNhARERGFtt6krrGJH/xnKf9etJljJ+Zx67mHkZkSH+2yREREpBdQaOslNpXU8NUHFrJsSwXXnTCerx83npgYi3ZZIiIi0ksotPUCqwurOPvON2kKO/568VSOnzQo2iWJiIhILxPVqYhmdoqZrTCz1Wb2vb2cc46ZLTezZWb2j56uMdJCTWG+9chiDJh7zSwFNhEREWlV1FrazCwWuA04ESgA3jOzuc655S3OGQ98H5jpnCs1s4HRqTZy7py/hiUF5dx2weGMzk2NdjkiIiLSS0WzpW0asNo5t9Y51wA8DJy5xzlXALc550oBnHOFPVxjRC3fUsHvX1zF6YcO5dOHDIl2OSIiItKLRTO0DQM2tXhfEBxraQIwwczeMLO3zeyUHqsuwhpCYb75yGKyUhK4+YwDo12OiIiI9HK9fSJCHDAemAMMB141s4Odc2UtTzKzK4ErAUaOHNnTNXbKH15cxcfbKvnLl6aSnZoQ7XJERESkl4tmS9tmYESL98ODYy0VAHOdc43OuXXASnyI241z7i7n3FTn3NS8vLyIFdxd3t9Yyu2vrOYLRwznhMmaeCAiIiJti2Zoew8Yb2ajzSwBOA+Yu8c5/8W3smFmufju0rU9WWR3q2ts4lv/WsLgjCR+fPrkaJcjIiIifUTUQptzLgRcAzwHfAQ84pxbZmY3m9kZwWnPAcVmthx4Gfi2c644OhV3j18/t4K1RdX86uxDyUjSbgciIiLSPlEd0+acexp4eo9jN7R47YBvBo8+7521xfztjXVcdNQoZo3PjXY5IiIi0odEdXHd/Ul1fYjrH13CyAEpfO/UA6JdjoiIiPQxvX32aL/xi6c/oqC0lke+MoPURP3sIiIi0jFqaesBr64s4sF3NnL5rNEcmT8g2uWIiIhIH6TQFmHltY1897EPGDcwjW+dNDHa5YiIiEgfpX66CLv5ieUUVtbz7wuPICk+NtrliIiISB+llrYIevGj7Ty2qICr54zl0BFZ0S5HRERE+jCFtgj6+1sbGDEgmWuO+8QmDiIiIiIdotAWIXWNTby9tpgTJg0iIU4/s4iIiHSN0kSEvL22mPpQmDkTB0a7FBEREekHFNoi5JUVRSTGxTB9tJb4EBERka5TaIuQV1cWMWNsjmaMioiISLdQaIuAjcU1rN1RzewJedEuRURERPoJhbYImL+yEEDj2URERKTbKLRFwCsrihg5IIX8nJRolyIiIiL9hEJbN6sPNfHmmmLmTMzDzKJdjoiIiPQTCm3d7L11pdQ2Nmk8m4iIiHQrhbZuNn9lIQmxMcwYmxPtUkRERKQfUWjrZq+sKGLa6AGkJMRFuxQRERHpRxTautHmslpWFVYxZ6K6RkVERKR7KbR1o/krigA0nk1ERES6XVRDm5mdYmYrzGy1mX1vH+d93sycmU3tyfo6av7KQoZmJjFuYFq0SxEREZF+JmqhzcxigduAU4HJwPlmNrmV89KB/wHe6dkKO6YhFOaN1cXMnjhQS32IiIhIt4tmS9s0YLVzbq1zrgF4GDizlfN+CvwSqOvJ4jpq0cZSqupD6hoVERGRiIhmaBsGbGrxviA4tpOZHQ6McM49ta8LmdmVZrbAzBYUFRV1f6Xt8MqKIuJijJnjtNSHiIiIdL9eOxHBzGKA3wHfautc59xdzrmpzrmpeXnRaemav7KII0Zlk54UH5X7i4iISP8WzdC2GRjR4v3w4FizdOAg4BUzWw8cBcztjZMRtlfU8dHWCm0QLyIiIhETzdD2HjDezEabWQJwHjC3+UPnXLlzLtc5l++cywfeBs5wzi2ITrl7N3+llvoQERGRyIpaaHPOhYBrgOeAj4BHnHPLzOxmMzsjWnV1xvwVRQxMT2TSkPRolyIiIiL9VFT3WnLOPQ08vcexG/Zy7pyeqKmjQk1hXltVxMkHDtZSHyIiIhIx7W5pM7NZZnZp8DrPzEZHrqy+Y/GmMirqQhrPJiIiIhHVrtBmZjcC3wW+HxyKBx6IVFF9yfyVRcQYzBqXG+1SREREpB9rb0vbZ4EzgGoA59wW/OzO/d4rK4o4fGQ2mSla6kNEREQip72hrcE55wAHYGapkSup79hRVc/SzeWaNSoiIiIR197Q9oiZ/RnIMrMrgBeAuyNXVt/warDUh8aziYiISKSNkSuwAAAgAElEQVS1a/aoc+43ZnYiUAFMBG5wzs2LaGV9wPyVReSmJXDg0IxolyIiIiL9XJuhzcxigRecc8cC+31Qa9YUdry6sohjJw4kJkZLfYiIiEhktdk96pxrAsJmltkD9fQZSzeXU1rTyOyJGs8mIiIikdfexXWrgKVmNo9gBimAc+7rEamqD3hlRSFm8KnxEQpt4TA01UOoDkL10Fjrn0N1EJ8MydmQlAVxCZG5v4iIiPQq7Q1t/w4eEpi/sohDhmcxILUDoSlUD+UFULYRyjf557KNULYJKgp2D2ZNDe27ZkLargCXnOVfNz/SBsKAMTBgLGTnK+CJiIj0Ye2diHBfsKn7hODQCudcY+TK6t1KqxtYvKmMa48bv+8TNy+Ct2/fFc4qtxGsmuJZDGQMg6yRMOIoSEyDuCSIS9zLc/A6VAe1pcGjrMXrUtix0j/XlEC4cfd7ZY2EnHE+xOUEjwFj/fGY2O77gcJN/m+NS/KtgvHJoC2+REREuqRdoc3M5gD3AesBA0aY2cXOuVcjV1rv9drqHTgHc/Y1nq2+Cv55ITRUw+CDYexxPhxljYTMEf45YyjERmhRXud8eCteAyVr/HPxav9649vQULXr3NgEGHo45M+EUUfvCpAduVfRx7DuVVg7H9a/DvXlu58TnxIEuJRdQS4+xbcUHv4lmHS6gp2IiMg+tLd79LfASc65FQBmNgF4CDgiUoX1Zq+sKCQrJZ5Dh2ft/aT5t0DFZrjsORh5VM8V18wMUgb4x4gjd//MOagqDMLcaihaARvfgtdvhdd+CxYLQ6fAqJmQPwtGTPddry2VboB1831IW/cqVBf641mj4MAzYcihvsWtscZ3++58rt392I6V8MhFMPZ4OO3XvvVPREREPqG9oS2+ObABOOdWmtl+uW9TOOx4deUOPjU+j9i9LfWxfRm8dbtvQYpGYGuLGaQP8o9RR+86Xl8Fm96BDW/AhjfhnTvhzT8A5lsL82f5Frq186Fsg/9O6kAYMxtGH+Mf2fkdq6UpBO/dDS/9HG4/Cmb+D8z6JiSkdO5va6z14wZzxqnlTkRE+hXzu1O1cZLZ34AwuzaJ/yIQ65y7LIK1dcrUqVPdggULInb9hlCYRxcWkJ+bwtFjW9kkPhyGe06F4lVwzQLf0tVXNdZCwQIf4ta/DgXvQWyiD29jZsPo2ZA3sXvCUeU2eP7HsPQRyBwJp94CE09r37XDYdjwOiz5Jyx/HBoqIXciHHYhHHo+pGlZFhER6Z3MbKFzbmq7zm1naEsErgZmBYdeA253ztV3usoIiXRoa9Oiv8Pca+HM23xo6E+aGv2Ehu6ctLCn9a/DU9dD0Ucw/iQ49Zd+BmxrCj+CJQ/D0n/5ruiENJh8Jgw+BD58DArehZg4mHCKb/UcezzEtrdxWUREJPIiEdpSgbpgod3mXRISnXM1Xao0AqIa2qqL4U9HQN4BcMnTENPerV1lN02Nvmv2lVv861nfgFnX+ckLldvhw0d9WNv2gR9/N/Y4OPQ83zLXslu1aIUP0UsehpodkD4EplwAU77YvWPn6ivh46d9XduX+evP+JpfdkVERGQfIhHa3gZOcM5VBe/TgOedc0fv+5s9L6qh7fGrfUD4ymswaHJ0auhPKrbA8z/yrWZZoyB3PKx5CVwYhkzxQe2gz/v16PYl1ACrnoNF98Pqef77o2bB4Rf5Lt70wR3v4g3Vw+oXfCvfimchVOtnBedOgDUvQmIGHHWVfyi8eU0hqNzqf+9IzZoWEeljIhHaFjvnprR1rDeIWmjb+Db87WQ/kP7Em3v+/v3Z2vnw7Pd9i9bBZ/uwljexc9eq2AKL/wHvPwCl6/yxlBwYdCAMOjh4PtC3lsYn7f7dcBOsfw2WPgofzYW6cv/dAz8LB53tZ9nGxPjWtldu8eckZrYIb/uYbdxfNDX6NQlL1n7yUbrBrx2YOxHOfQDyJrR9PRGRfi4Soe0N4Frn3KLg/VTgj865GV2qNAKiEtqaGuHPx/hQcfU7kJDas/eXjguHYfMC2PI+bFvqg1bhR77FDHy3a+54GHSQD3FVhbDs31C13Y+dm3S6D2pjZu+91WjbhzD/l/0/vJWuh2d/AIXLfWDzoyi8hDQYMHrXzhypufD6//lJLmf8EQ76XNTKFhHpDSIR2qYC/wS2BIeGAOc65xZ2ukp/3VOA3wOxwF+cc7fs8fk3gcuBEFAEXOac27Cva0YltL3xB5j3YzjvH3DAp3v23tJ9wk2+RWj7hz5wbV/mH+Ub/azZCSf5oDbhZD++rr22LQ3C2xM+vM34Gkz/av8Ib6Xr4d7PQH2Fn+gxYEyw08YY/0jN+2TXc8UW+NclfnmZ6Vf5lmltsSYi+6lIhLYvAM8BI4HPAdOBHze3vHWyyFhgJXAiUAC8B5zvnFve4pxjgXecczVmdhUwxzl37r6u2+OhrWwT3DYNxsyB8x/quftKz6kt8zNmE9O7dp2tH/jw9vGTPrwdfpGfGDHowK5dt7EWVjzjx/uFQ22fbzF+LOC447t239INuwLbxXP9gsrt1dQI827w27wNnwZfuBcyh3WtHhGRPigSoe0D59whZjYL+CnwG+AG59z0LhQ5A7jJOXdy8P77AM65/93L+YcBf3LOzdzXdXs8tD38Rf//LK9+x29NJdKWrR/4nSc+fsqP8RpyqJ9xevAX2r+uX/PadB/8E5bP9cEpObt9wbK+ym9xdtyP4FPf6tw6e2Ub4d5P+3F9X5rrd9DojA//7ZfIiUuCs//q/8ePiMh+pCOhrb2LVjUPUvk0cLdz7ikz+1mnqttlGLCpxfsCfAve3nwZeKa1D8zsSuBKgJEjezA4rXjWt5qccJMCm7TfkEPgnPv8EjFL/wWLH4RnvgPP/RAmnuoD3LgTWl9TrrW16SadAYeeC/mfat8aeg01Pii99FO/bMqZt3dsr9myTb6Fra4cvvR45wMb+DFtgw7yW5nd/1k49od+RwwtlyMi8gntbWl7EtiM78o8HKgF3nXOdaA/5BPXPBs4xTl3efD+ImC6c+6aVs69ELgGmN3Wgr491tLWUAO3T/ebnn/lNY3Jka7ZttTPav3gn1BT7LcHO/RcH+CSs/2M1Q8e9udZrO/aPOTcT65N117OwZt/hBduhLxJcN6DfsJAW8oLfAtbTSl86b8w7PCO37s19VXwxP/4te4mnAKfvbP1pVIaa/1+uTtWwo5V/rlyO8y4Gg44rXtqERHpQZHoHk0BTgGWOudWmdkQ4GDn3PNdKLJd3aNmdgLwR3xgK2zruj0W2l74Cbz+O7+Ibv4+e2xF2i/UAKue9wFu1XPBGDUDHAw9DA45z7dOtbU2XXutfhEevcx3kZ59D4w9du/nlm+Ge0+DmpIgsB3RPTU0cw7evRue+wFkDIWTfga1JT6cFa3wAa1sI9D83yzzLdxmfkLEUVf7Vm/9DygR6UO6PbRFgpnF4SciHI9vxXsPuMA5t6zFOYcBj+Jb5Fa157o9EtoKP4Y7Z8Eh58BZt0f2XrL/qiry3aD1FXDg5yK3rlnJWnjoAtixAk78qW+1am3G5z2n+VbAi/4Dw9v135fO2fQe/Oti3/0Lfrxbznj/9+dO8Eux5E70s1Tjk/1Cx8//GN79sw+SZ/8NsvM7d2/n/BIt2z6E2d/RIsAiEnF9IrQBmNlpwK34JT/+5pz7uZndDCxwzs01sxeAg4GtwVc2OufO2Nc1Ix7anPPjebZ/CNcu9OtOifR19ZXw36v8siSHnAun/37XsiYVW/z/zVcV+sA24sjI11NbClsW+y7bzJHtG+O2fC48HoyuOOs2v5ZeR6x7FV64CTYHKxlN+aLfQ7gzEzVERNqpz4S2SIh4aKurgMe+7NdjO+KSyN1HpKeFw35W68s/8zNaz30QYuLgvs9A5bYgsE2LdpX7VrLOd/duWeTXwjvxZohL3Pd3tn4AL/7Eb0uWMQyO/YFfzuTVX8Ex3/azbEVEIkShLdLdo82/mf4XuPRHK56Bx67wYScpw7ewXfgYjDwq2pW1T6jBT7B4+3a/R+0X7m19kkXpenjp57D0EUjK8sufTLvCtzA652fYvn8/fPp3cOSXe/qvEJH9REdCm+bVd4aZApv0XxNPhSte8js2VG6HLz7adwIb+IkIp/yvbyksXee3mFv2312fV++AZ74Lf5zqu4NnfQP+ZwnM/PquLmEz+MytMP5kePp6v6Zef1ewwC8701gb7UpEZC/U0iYirWus9WPdumumajSUbvDdpZsXwJGX+6VU3vwDNNbAYRfBnO/5map701AN953utzO7+Ine3z3cGc7Bgr/5IBtuhFN/BdO/Eu2qRPYb6h5VaBORZqEGP2btrT/595NOh+NuaP9s3Ood8NcT/eSIy56P3CzeZs71XEt+Yy089S2/wPO4E6GuzE88+fpiLZ0i0kPUPSoi0iwuAU7+uV9T8YqX4NwHOha8UnP9mL6YOHjg835SRiSUb/bb4v1sIDz4Bb/zRV1FZO4FfkzfX0/ygW32d+GCR2DO9/1SK0u0j7JIb6SWNhGR9ti8yC99kjPGB8CkjO65brgJ3vsLvPhTv5jygZ+F9a9B+Sa/Rt34k+Cgz8OEk3eNueuq1S/AY5f7GcOfuwsmnuKPOwd3H+tbFa9Z2PpWan1FQzU0NfqxmSK9WCT2HhUR2b8NOxzO+Tv84xy/V+oF/+p6F+LWD/z2XVsWwdjj4dO/9TNdw2EoeA8+fAyW/ccv+JuQ5rctO+jzMPa4zt07HIbXf+tnzQ6cDOfe7xcpbmbmlzl5+AJY9m+/gHhXrHjGb3027YquXac9akth4zuw4Q3Y8CZsXQwYHPwFmPE1GHxw5GsQiTC1tImIdMT7D8LjX4ODz4HP/rlzm9s3VMPLv4C374CUAXDKLT6MtTaWLdwE61/3AW75437cWVKWH5uX/ykfRnLHt717Q22ZX0B5xdM+yJz+e0hIbeV+YbhzJrgwXPVW5/4+8FuO3Tbdj5v76mvdH5oqt8PGN31A2/CmnyyCg9gEvzPGqKP9RJr3H4TGahgzB2Zc48NxZ/8mkQjQRASFNhGJpFd/Ay/9FGZeByf+pGPfXfmcH/xfvgkOv9h/Pzm7fd8NNcDal32A+/gpaKjyx2MTYeAkH4wGH+KfBx24qwt3+3L45xd9kDrp53526L4mOyx91C8ifs79MHmfm9C0zjl46Dy/y0RsPAyfBhc+2vHrtHbdV/7X11eyxh+LT/WzekfNhFEzfGBr2Y1cWwoL74V3/gyVW/0WaDOu9jt/xCd1vSaRLlJoU2gTkUhyzgevBX/1y4gMGNPiMTp4jNk9jFVu88tqLP8v5B3g14EbNaPzNTSFoHgVbFsK2z7wz1s/gNqSXedkj/bhbc1LkJgOX7ivffcMN8GfjvQtcV95teOzWZf91+8fe9LPfIvdvBvgkqcgf1bHrrOn5XN91/ToY/xYv1FH+5Danj1iQw2+q/mtP/rfKiXXLwNz5OWQlte1ukS6QKFNoU1EIi3c5Nc327oYStZDyVqo3LL7OcnZPjhljfTBKVQPs78NR/9PZJbUcM63JrUMctuW+hrOuh3SB7f/Wovuh7nX+MWVx5/Y/u/VlcOfpvn1/a542a/99scjIH0IXP5C55czaaiB26ZBUiZcOb/zkySc8xM93roNVj7rWykPPQ+O+7HCm0SFQptCm4hEQ0ONX0qjdJ0PcTsf6yBvoh+71nLgf28WaoA/Hu4XH77sufaHrSe/CQvvgctf9JM3ABb93W8Ldu6DMOkznavnxZ/Ca7+BS5/xLWzdoWil3+5s8YM+DJ55O0w4qXuuLdJOCm0KbSIiXffu3X4br4ufhNGfavv8Te/6td+mfxVOvWXX8aYQ3DEDMLjqzY63khWvgduP8suhfO6ujn23PbYv90ugFC6DI6+Ak37afcuriLRBi+uKiEjXHXYhpA2CV3/d9rlNjX75koyhcNwPd/8sNg6OvwF2rOj4wr3O+bGAsYlw4s0d+257DZrsF14+6mp4727482w/PlCkl1FoExGR1sUn+2Uy1s2HTe/t+9w3/wiFy+G03/hJD3s64DMwbKqf/dmRTelXPA2r58Gx3+/YmLyOik+CU34BF/3Hj8u7+zh44w9+CRSRXkKhTURE9m7qZX5CxWu/2fs5JWth/i/92nEHnNb6OWZwwk1+m6x3727fvRtr4dnvQd4kmHZlRyvvnLHH+S7cCSfDvB/D/Wf6LcZEegGFNhER2bvENDjqa36mZWtdhs75yQcx8XDqr/Z9rdGfgnEnwGu/9Yv9tuX1//Nry5326/Yt69FdUnP8HrVn/BEKFsAdR/tlTESiTKFNRET2bdqVkJjhw9aelv7LL/h7wo1+PFtbjr/R7+rwxu/3fV7JWnj9Vr9TRHsmQXQ3Mzj8S/DV1/2ae/+6GP77Nb/LQn/gnN9JorEu2pVIByi0iYjIviVn+UVolz/ul8loVlMCz37fj1Wbeln7rjXkEL+N1tt3QMXWvZ/37Pd969pJP+ta7V2VMxa+/Lzfk3XJQ/DQ+X42bF/34WNwz6nwzHeiXYl0QFRDm5mdYmYrzGy1mX2vlc8TzeyfwefvmFl+z1cpIiLMuBrikuD13+06Nu/Hfpuo038PMbHtv9axP4RwCF7dS3fqimd9d+zs77Sv9S7SYuPhuB/Bmbf5hXlf/nm0K+qaunJ47gd+Ru6i+2Dt/GhXJO0UtdBmZrHAbcCpwGTgfDObvMdpXwZKnXPjgP8DftmzVYqICACpuTD1UvjgEb+A8PrX4f0H4OhrYPBBHbvWgNH+Wgvv82uwtdRYB89+F3InwPSruq38bjHlAt9l+vrv/B6yfdXL/wtVhX6m7IAxfuHjhupoVyXtEM2WtmnAaufcWudcA/AwcOYe55wJ3Be8fhQ43qyze6CIiEiXHH2tb1Gb/2t44jrIGgWzP9FJ0j7HfNu33L30092Pv/F7HwpP+3VktvrqqlN/BYMPhn9f6SdJ9DVbP4B3/+y7s/Nnwhl/grIN8FKUu6GlXaIZ2oYBm1q8LwiOtXqOcy4ElAM5e17IzK40swVmtqCoqChC5YqI7OcyhsKUL8LiB/xm9Z/5HSSkdO5aaQN9l+uy/8CW9/2x0vW+FWvyWTBmTjcV3c3ik+EL94ELw78u8fvJ9hXhMDz1TUgeAMf/2B/Ln+nHK759h9/RQnq1fjERwTl3l3NuqnNual6eNvwVEYmYWddBbIKfTDDuhK5d6+hrISUHXrjJv3/uh2AxcHIvHzOWM9aPb9u8EJ7/UbSrab/374eC9/zkjuTsXcdPuAkyh8Pj1/StELofimZo2wyMaPF+eHCs1XPMLA7IBIp7pDoREfmk7Hy4diGcdWfXr5WUAZ+6Hta+4sPPx0/6btPM4V2/dqRNPsNve/XuXX4mZm9XXQwv3Agjj4ZDz9v9s8R0OP1Wv83Y/DbW2pOoimZoew8Yb2ajzSwBOA+Yu8c5c4GLg9dnAy+5/rbDvYhIX5M1suObvu/NkV+GzJF+G6wBY32XaV9x4k9g+DSY+3XYsSra1ezbCzf6NeY+/Vu/Bt2exp0Ah17gFzTeuqTn65N2iVpoC8aoXQM8B3wEPOKcW2ZmN5vZGcFpfwVyzGw18E2gkyNeRUSkV4pL9AvzxsQHkw8So11R+8XGwxfu8TU/8iVoqIl2Ra3b9K7vGj3qazBoz0UaWjj55767+vGroamx5+qTdrP+1nA1depUt2DBgmiXISIiHVFX4btL+6LVL8IDn4dDz4ezbm+9JStamkJw1xyoLYGr3/Xbku3L8rnwyEVw3I/hmOt7pMT9nZktdM5Nbc+5/WIigoiI9HF9NbABjDveLwS85B++Ras3ee9u2L4UTrml7cAGfqze5LNg/i+haEXk65MOUWgTERHpqtnf9cuUPP1t2LY02tV4FVvhpZ/DuBNh0unt/95pv4aEVD+bNNwUufr2pSnkxwkufxy2L4tODb1QN40kFRER2Y/FxMLn/gJ//pQf33blK5CUGd2anv8hNDXAab/qWJdt2kA45Zfwnyv97NijIrgzRTgM5Zug8CMoXO6fiz7ye9w2BcuP5E6Aa96LXA19iEKbiIhId0jLg7PvgXs/DY9e5vdkjdbyJWte9kuRzPmB36qqow45Bz58FF68GSac4rce6y7hMLzyC19j0cfQULXrs4zhMHASjDnWP2/7EN6+Dco3Q+ae6+/vfzQRQUREpDu9ezc8Gyx2cMh5fkHi3PE9d/9QPdxxtN+14aq3ID6pc9cpL4DbjoJhh8GX5nbfBIs1L8P9Z8GwqTDsCB/OBk6GgQd8snVy24dw50w46w6/92s/pIkIIiIi0TLtCvj6Ypj6Zd9a9acjfZfplsU9c/83/wDFq+G033Q+sIFvJTzpZlj3Kiy6r+3z22vJQ5CYCZc85btup14KI6e33p08cDKk5vkFmEWhTUREpNtljfCB5LoP4VPfhDWvwF2z4f7PwfrXIVK9XMVr4NXf+Bmg447v+vUOvwRGHAXzf909kxLqK+GjJ+Cgz7YvUMbEwOhjYO38yP1mfYhCm4iISKSk5cHxN8A3lsLxN8K2D/yYt7+dDCue7d4g8uFjcPdxfm/Yk3/RPdeMifETESoK/Hp0XbV8LjTW+N0X2mvMHKjapiVIUGgTERGJvKRM3+J23VLfbVmxFR46F+6c5VueuhLeakr8xIdHL4OccXDFy907aH/iab6LcuG9Xb/Wkof8dmUjprX/O6Nn+2d1kSq0iYiI9Jj45GDM2yI4604/aeCfF/oWsjUvdzy8rXoBbp/h1zM77kdw2XOQO657a45LgClfhJXPQsWWzl+ndAOsf83vHNGRSQ3ZoyB7NKyb3/l79xMKbSIiIj0tNh6mnA9fexvOvA2qi/yMyvtOh03tWJOsvgqeuA4e/DwkZ8MVL8Ex34bYCK3kdcTF4Jrg/Qc6f40P/umfDzmn498dM8ePBWwKdf7+/YBCm4iISLTExsFhF8K1C+HUX/l1y/56Ajx0/t53Atj4tl8GY+G9cPS1fiHfIYdGts4BY3xwWnhf5yYkOOe7RvM/5VvOOmrMbKivgC3vd/y7/YhCm4iISLTFJcL0r/ilQo77Max/A+6YCY9d7meEgu9KnXcj3HOqD0GXPAUn/axry3p0xBGXdn5CwqZ3oWSt7xrtjPxjANvvx7UptImIiPQWiWlwzPVw3RKY9Q34+Cm4bRrMvRbuOhbeuBUOuwiuegPyZ/ZsbTsnJNzT8e8u+QfEp/gN6TsjNQeGHKLQFu0CREREZA/J2XDCjcEivZfB4of8uLcLHoEz/gCJ6T1fU1yC78rt6ISExlr48D9+0/qu1D16NhS8Cw3Vnb9GH6fQJiIi0lulD4LTfg3f+BCuXQATTo5uPYd/yW+Ptej+9n9nxdNQX975rtFmY+ZAUwNsfKtr1+nDFNpERER6u/TBrW/z1NMGjPGbuS/6e/snJCx5GDKG+Z0NumLkDL9w8H7cRarQJiIiIu13xCXBhIQX2j63crufuHDIuRAT27X7JqTAiOl+S6v9lEKbiIiItN8Bn4bUge3bIWHpI359t652jTYbM9tvBVZd3D3X62MU2kRERKT9YuPhsGCHhPLNez/POT+BYtgRkDehe+49eo5/Xv9q91yvj4lKaDOzAWY2z8xWBc/ZrZwzxczeMrNlZvaBmZ0bjVpFRERkD4df7Cck7GuHhG1LoXBZ97WyAQw9DBIz9ttxbdFqafse8KJzbjzwYvB+TzXAl5xzBwKnALeaWVYP1igiIiKtGTC67QkJSx7yEwcO+nz33Tc2DvJnKbT1sDOB+4LX9wFn7XmCc26lc25V8HoLUAjk9ViFIiIisndTL937hISmRvjgEZhwCqQM6N77jpkDpev9Yz8TrdA2yDm3NXi9DRi0r5PNbBqQAKzZy+dXmtkCM1tQVFTUvZWKiIjIJ008be8TEla/ADU7urdrtNmYOf55P5xFGrHQZmYvmNmHrTzObHmec84Bbh/XGQLcD1zqnAu3do5z7i7n3FTn3NS8PDXGiYiIRFxs/K4dEvackLDkIUjJhfEndv99cydA2mBYt/+FNvOZqYdvarYCmOOc2xqEsleccxNbOS8DeAX4hXPu0fZce+rUqW7BggXdWq+IiEhf0djYSEFBAXV1dZG/WTjkt7RKyty1+G84DBWb/T6qyZ+YZ9g9aoqhsQ4yhoJZZO7RzZKSkhg+fDjx8fG7HTezhc65qe25RlxEKmvbXOBi4Jbg+fE9TzCzBOA/wN/bG9hERET2dwUFBaSnp5Ofn4/1RKApTvYBatABPkBVF0F5A+RO9AviRkJNMZRthLx8vxF9L+eco7i4mIKCAkaPHt3p60RrTNstwIlmtgo4IXiPmU01s78E55wDHANcYmaLg8eU6JQrIiLSN9TV1ZGTk9MzgQ18N2i4Eeor/PuaEohLgvjkyN2zeeP5+qrI3aMbmRk5OTldbv2MSkubc64YOL6V4wuAy4PXDwD7WABGREREWtNjgQ0gKQNi4qB6B8QmQmNN5LstYxMgLhHqKyFtYOTu0426499EOyKIiIhI51kMpOT4lraq7f5Ycjcv89GahHRoqPKL/O4nFNpERESka1Jy/HNtCcXVTUw54kimTJnC4MGDGTZsGFOmTGHKlCk0NDS063KXXnopK1as2PdJiek+sDXUdLH4viNaExFERESkv4hL9CGqvpKcYWNYvHgxADfddBNpaWlcf/31u53unMM5R0xM621H99xzT9v3TEzzz/WVu15HWCgUIi4uetFJoU1ERKSf+skTy1i+paJbrzl5aAY3nn7gJz9IGwwYJLW+4+Tq1as544wzOOyww3j//feZN28eP/nJT1i0aBG1tbWce+653HDDDQDMmjWLP/3pTxx00EHk5uby1a9+lWeeeYaUlBQef/xxBg4cyKo167jwvEuoqa3jjM+ezW233UZZWdlu96ysrOScc85hy5YtNDU1cdNNN3H22WfzzjvvcN1112Od67QAABI3SURBVFFTU0NSUhIvv/wyZsZXv/pVFi1aRHx8PLfeeivHHHMMf/nLX3jyyScpLy8nJiaGF198kVtuuYV///vf1NXVcfbZZ++sO9LUPSoiIiJdl5gGOWNhL61nAB9//DHf+MY3WL58OcOGDeOWW25hwYIFLFmyhHnz5rF8+fJPfKe8vJzZs2ezZMkSZsyYwd/+9jcArr32Wq7/+tdY+v/t3Xtw1fWZx/H3k5AbJAhKBeUirraFKAiBZbgUZVqEQlfsblGpJVaMRdxZXHaBMZ3S9cLOFLfTG0MsugVR5FoBZd2kUEFHaGoAczHIXdum3FaIyD3FJM/+8TvEAAFOIDknJ/m8ZjL5nd/1OeeZEx6+v+/v+31rKTd0qntipdzcXLp3705JSQlbt27l7rvvpqKignHjxpGTk0NJSQlr164lKSmJ2bNnk5SURGlpKQsXLiRz/Pc4U/4XcKeoqIiVK1eybt06cnNzKSsro6CggOLiYvLz88nPz2+Yz/Ay1NImIiLSTNXZIhZFt9xyC/37fzGO7JIlS5g3bx6VlZXs37+fbdu2kZ6efs4xKSkpjBo1CoB+/fqxYcMGAAoKCshdtQyOfMyD3xnDjB9f2NrVu3dvsrOzyc7O5p577mHIkCEUFRXRrVs3MjIyALjmmmBQ4I0bNzJ9+nQAbuv5VW68/lr27AiKyBEjRtC+fTBQ8Nq1a8nLy6Nv374AnDhxgl27djF48OAG+5wuRkWbiIiIRESbNm1qlnfv3s2vfvUrNm3aRLt27Rg/fnyd45glJibWLMfHx1NZWfnFxoQ2gMGZ43Ver2fPnmzZsoXc3Fyys7MZNWpUTQF4SSc+AfdgOBHbd07c7s6MGTPIysq6/HkamG6PioiISMQdO3aMtLQ02rZty4EDB1izZk29jh8wYACr3ngDElNZuuy3de6zb98+UlNTyczMZOrUqRQWFpKenk5ZWRmFhYU1cVRVVTF06FAWLVoElWfYXvQeBw59yq09e11wzpEjRzJv3jxOnjwJBDNQHD58uJ7v/sqopU1EREQiLiMjg/T0dHr06MFNN93EkCFD6nX87NmzyczM5JmnTjByaP+a25y1lZSUkJ2dTVxcHImJicydO5ekpCSWLFnC448/TkVFBSkpKaxfv57Jkyfz2GOP0at3bxLijVdeXnBOK99Zo0ePZseOHQwcOBCAtLQ0Fi9eTIcOHa7sg6iHqEwY35g0YbyIiLRk27dvp2fPntEOo9GdPHmS1q1bY5+f5tUXfs6qdQWseP1/ru6kn5+GQzugzfVwTeeGCbSWunITCxPGi4iIiFyxzZs3M2XKFKqrq2nfJpGXnv/F1Z/02D6weEir+2nUaFPRJiIiIjFn2LBhNYP48unHwcwI7lc+52nFsWCg3rY3BnOpNkF6EEFERERiW1JbqP4cTn96Zce7w7H9wUT0rb/UsLE1IBVtIiIiEttaXwuJqfDZX4MWs/o6fQQqT0PaDZccHDjamm5kIiIiIuGwOLj276BVMhz5E5w5Gf6x1dVw/AAkpEBK+8aLsQGoaBMREZHYFxcfmkarVdDH7fMLB+qt06lDUHUG2na+8v5wEaKiTURERBpMeXk5ffr0oU+fPnTq1InOnTvXvD5z5kzY55k/fz4HDx6seT1hwgR27tx56YPiE4LCDeDTj6Dq80vvX1UJx/8v6BOXlBZ2bNHSNB+PEBERkZh03XXX1TzV+fTTT5Oamsq0adPqfZ758+eTkZFBp06dAHjppZfCO7BVcnCrtHwPlH8EHW69+NOgJw6CVwVPjF6hyspKWrWKTDmlok1ERKS5ysuGg6UNe85OvWDUrCs69OWXXyYnJ4czZ84wePBg5syZQ3V1NRMmTKC4uBh3Z+LEiXTs2JHi4mIeeOABUlJS2LRpE1//+teZM2cOt99+Ox06dGDSpEnk5eXRunVr3njjDa6//np2797N+PHjOXXqFGNGjyRn7gt89lFh0Ppmwc3F48ePc//997N/3z6qzpzi6R9OZez3+1JQUMCUKVM4deoUycnJvP3225gZkyZNorCwkISEBH75y19y55138pvf/IY333yTo0ePEhcXx7p165g1axYrV66koqKCsWPH8h//ceEE9lcrKrdHzexaM/u9me0O/b5ozz8za2tme81sTiRjFBERkYazdetWVq1aRX5+PsXFxVRWVrJ06VLef/99Dh8+TGlpKVu3buWhhx7igQceoE+fPixbtozi4uILppM6evQod911FyUlJQwaNIj58+cDMHnyZKZNm0ZpaSk3dO0eFGpnTsCRvwTDegC5ubl0796dkndWs3X9Cu6+ZywVFRWMGzeOnJwcSkpKWLt2LUlJScyePZukpCRKS0tZuHAhmZmZNbd4i4qKWLlyJevWrSM3N5eysjIKCgooLi4mPz+f/Pz8Bv8Mo9XSlg2sc/dZZpYdev3kRfadCbwbschERESaiytsEWsMb731Fps3b6Z//2DGptOnT9O1a1dGjhzJzp07eeKJJ/jWt77FiBEjLnuulJQURo0aBUC/fv3YsGEDAAUFBeTm5gLw4IMPMmPGjODW57H9cGwvtO1C7969yX7ySbLjK7hnzLcZMuIOioqK6NatGxkZGQA185hu3LiR6dOnA3Dbbbdx4403smfPHgBGjBhB+/ZBm9PatWvJy8ujb9++AJw4cYJdu3YxePDgBvnszopW0XYvMCy0/DLwDnUUbWbWD+gI/A4Ia14uERERaXrcnUceeYSZM2desO2DDz4gLy+PnJwcVqxYwYsvvnjJc9VueYuPj6eysvLiO6d2DB44OPkJxCXQs0cPtqxdTu6at8ie+VNGbfmwpgCsjzZt2pzz3mbMmEFWVla9z1Mf0Xp6tKO7HwgtHyQozM5hZnHAz4D6914UERGRJmX48OEsX76cw4cPA8FTpmVlZRw6dAh357777uPZZ5+lsLAQgLS0NI4fP16vawwYMIBVq1YBsHTp0i82tL0xGIPt+AH2bdtEaoKT+cgPmDp1GoWFhaSnp1NWVlZz7WPHjlFVVcXQoUNZtGgREEz2fuDAAW699dYLrjty5EjmzZvHyZPB+HB79+6teZ8NqdFa2szsLaBTHZt+VPuFu7uZeR37/TOQ6+577TLjppjZRGAiQLdu3a4sYBEREWk0vXr14qmnnmL48OFUV1eTkJDA3LlziY+PJysrC3fHzHjuueeAYIiPRx99tOZBhHDMnj2bzMxMnnnmGUaOHFlzmxMzaNcNqispKcwj+ydziEtMITExkblz55KUlMSSJUt4/PHHqaioICUlhfXr1zN58mQee+wxevXqRUJCAq+88soF/esARo8ezY4dOxg4cCAQFJyLFy+mQ4cODfPhhZh7XfVS4zKzncAwdz9gZjcA77j7V8/bZxEwFKgGUoFE4Hl3z77Uufv37+9btmxppMhFRESatu3bt9OzZ89ohxEVJ0+epHXr1pgZr776KqtWrWLFihVf7FBdBcf2Qcq1kJQa8fjqyo2Zve/uYXUBi1afttXA94FZod9vnL+Du3/v7LKZPQz0v1zBJiIiIi3X5s2bmTJlCtXV1bRv3/7Csd3i4oMWtxgVraJtFrDczLKAvwD3A5hZf2CSuz8apbhEREQkRg0bNqxmYN/mKCpFm7uXA9+oY/0W4IKCzd0XAAsaPTAREZFm4Gz/MGk6GqI7muYeFRERaUaSk5MpLy9vkCJBGoa7U15eTnJy8lWdR9NYiYiINCNdunRh7969HDp0KNqhSC3Jycl06dLlqs6hok1ERKQZSUhI4Oabb452GNIIdHtUREREJAaoaBMRERGJASraRERERGJAVGZEaExmdohg7LeG1AFo+EnE5GopL02XctM0KS9Nl3LTNEUiLze5+5fC2bHZFW2Nwcy2hDvFhESO8tJ0KTdNk/LSdCk3TVNTy4tuj4qIiIjEABVtIiIiIjFARVt4Xox2AFIn5aXpUm6aJuWl6VJumqYmlRf1aRMRERGJAWppExEREYkBKtpEREREYoCKthAz+6aZ7TSzPWaWXcf2JDNbFtpeYGbdIx9lyxRGbv7dzLaZ2Qdmts7MbopGnC3N5fJSa7/vmJmbWZN5bL65Cyc3ZnZ/6HvzoZktjnSMLVEYf8u6mdnbZlYU+ns2OhpxtjRmNt/MPjGzrRfZbmY2O5S3D8wsI9IxnqWiDTCzeCAHGAWkA981s/TzdssCjrj7rcAvgOciG2XLFGZuioD+7t4beA34r8hG2fKEmRfMLA34V6AgshG2XOHkxsy+DPwQGOLutwFTIh5oCxPmd2YGsNzd+wLjgOcjG2WLtQD45iW2jwK+HPqZCPw6AjHVSUVbYACwx90/dvczwFLg3vP2uRd4ObT8GvANM7MIxthSXTY37v62u58KvXwP6BLhGFuicL4zADMJ/oNTEcngWrhwcvMDIMfdjwC4+ycRjrElCicvDrQNLV8D7I9gfC2Wu78LfHqJXe4FXvHAe0A7M7shMtGdS0VboDPw11qv94bW1bmPu1cCR4HrIhJdyxZObmrLAvIaNSKBMPISuoXQ1d3/N5KBSVjfma8AXzGzP5jZe2Z2qVYGaRjh5OVpYLyZ7QVygcmRCU0uo77/DjWaVtG4qEhjMLPxQH/grmjH0tKZWRzwc+DhKIcidWtFcKtnGEHL9Ltm1svdP4tqVPJdYIG7/8zMBgELzex2d6+OdmDSNKilLbAP6FrrdZfQujr3MbNWBE3X5RGJrmULJzeY2XDgR8AYd/9bhGJryS6XlzTgduAdM/szMBBYrYcRIiKc78xeYLW7f+7ufwJ2ERRx0njCyUsWsBzA3f8IJBNMWC7RFda/Q5Ggoi2wGfiymd1sZokEHUBXn7fPauD7oeWxwHrXyMSRcNncmFlf4AWCgk19cyLjknlx96Pu3sHdu7t7d4K+hmPcfUt0wm1Rwvl79jpBKxtm1oHgdunHkQyyBQonL2XANwDMrCdB0XYoolFKXVYDD4WeIh0IHHX3A9EIRLdHCfqomdm/AGuAeGC+u39oZs8CW9x9NTCPoKl6D0GHxXHRi7jlCDM3PwVSgd+Gng0pc/cxUQu6BQgzLxIFYeZmDTDCzLYBVcB0d9edg0YUZl6mAv9tZv9G8FDCw2ocaHxmtoTgPzEdQv0JnwISANx9LkH/wtHAHuAUMCE6kWoaKxEREZGYoNujIiIiIjFARZuIiIhIDFDRJiIiIhIDVLSJiIiIxAAVbSIiIiIxQEWbiIiISAxQ0SYiMcHMTkTgGmPMLLuxr3ORa3/bzNKjcW0RiQ0ap01EYoKZnXD31AY4T7y7VzVETA15bTNbALzp7q9FNioRiRVqaRORmGNm081ss5l9YGbP1Fr/upm9b2YfmtnEWutPmNnPzKwEGGRmfzazZ8ys0MxKzaxHaL+HzWxOaHmBmc02s3wz+9jMxobWx5nZ82a2w8x+b2a5Z7ddJNY/m9lzZlYI3GdmPwjFXmJmK8ystZkNBsYAPzWzYjO7JfTzu9D72XA2RhFpuVS0iUhMMbMRBJObDwD6AP3M7M7Q5kfcvR/QH3jCzK4LrW8DFLj7He6+MbTusLtnAL8Gpl3kcjcAXwP+AZgVWvdPQHcgHcgEBoURdrm7Z7j7UmClu/+9u98BbAey3D2fYH7D6e7ex90/Al4EJofezzTg+TCuIyLNmOYeFZFYMyL0UxR6nUpQxL1LUKj9Y2h919D6coL5NVecd56Vod/vExRidXnd3auBbWbWMbTua8BvQ+sPmtnbYcS8rNby7Wb2n0C7UOxrzt/ZzFKBwXwxny5AUhjXEZFmTEWbiMQaA37i7i+cs9JsGDAcGOTup8zsHSA5tLmijr5kfwv9ruLifwv/VmvZLrJPOE7WWl4AfNvdS8zsYYKJqs8XB3zm7n2u4poi0szo9qiIxJo1wCOh1ijMrLOZXQ9cAxwJFWw9gIGNdP0/AN8J9W3rSN1F16WkAQfMLAH4Xq31x0PbcPdjwJ/M7D4AC9xx1ZGLSExT0SYiMcXd1wKLgT+aWSnwGkGx8zuglZltJ+h/9l4jhbAC2AtsA14FCoGj9Tj+x0ABQfG3o9b6pcB0Mysys1sICrqs0MMTHwL3NkDsIhLDNOSHiEg9mVmqu58IPeiwCRji7gejHZeING/q0yYiUn9vmlk7IBGYqYJNRCJBLW0iIg3AzFYBN5+3+kl3v+DpUBGRK6GiTURERCQG6EEEERERkRigok1EREQkBqhoExEREYkBKtpEREREYsD/A9t0S/F3inGnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 考虑学习率对结果的影响\n",
    "def test_GBRT_learning_rate(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    learning_rates = np.linspace(0.01,1.0)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figwidth(10)\n",
    "    ax = fig.add_subplot(111)\n",
    "    traing_score=[]\n",
    "    testing_score=[]\n",
    "    for learning_rate in learning_rates:\n",
    "        clf = ensemble.GradientBoostingRegressor(n_estimators=30,learning_rate=learning_rate)\n",
    "        clf.fit(X_train,Y_train)\n",
    "        traing_score.append(clf.score(X_train,Y_train))\n",
    "        testing_score.append(clf.score(X_test,Y_test))\n",
    "        \n",
    "    ## 绘图 \n",
    "    ax.plot(learning_rates, traing_score,  label='Traing score')\n",
    "    ax.plot(learning_rates, testing_score, label='Testing score')\n",
    "    ax.set_xlabel('learning_rate')\n",
    "    ax.set_ylabel('score')\n",
    "    ax.legend(loc='lower right')\n",
    "    ax.set_title('GradientBoostingRegressor')    \n",
    "    plt.show()\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_learning_rate(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 考虑subsample对结果的影响\n",
    "def test_GBRT_subsample(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    subsamples = np.linspace(0.01,1.0)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figwidth(10)\n",
    "    ax = fig.add_subplot(111)\n",
    "    traing_score=[]\n",
    "    testing_score=[]\n",
    "    for subsample in subsamples:\n",
    "        clf = ensemble.GradientBoostingRegressor(subsample=subsample)\n",
    "        clf.fit(X_train,Y_train)\n",
    "        traing_score.append(clf.score(X_train,Y_train))\n",
    "        testing_score.append(clf.score(X_test,Y_test))\n",
    "        \n",
    "    ## 绘图 \n",
    "    ax.plot(subsamples, traing_score,  label='Traing score')\n",
    "    ax.plot(subsamples, testing_score, label='Testing score')\n",
    "    ax.set_xlabel('subsample')\n",
    "    ax.set_ylabel('score')\n",
    "    ax.legend(loc='lower right')\n",
    "    ax.set_title('GradientBoostingRegressor')    \n",
    "    plt.show()\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_subsample(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 考虑max_features对结果的影响\n",
    "def test_GBRT_max_feature(*data):\n",
    "    X_train,X_test,Y_train,Y_test = data\n",
    "    max_features = np.linspace(0.01,1.0)\n",
    "    fig = plt.figure()\n",
    "    fig.set_figwidth(10)\n",
    "    ax = fig.add_subplot(111)\n",
    "    traing_score=[]\n",
    "    testing_score=[]\n",
    "    for max_feature in max_features:\n",
    "        clf = ensemble.GradientBoostingRegressor(max_features=max_feature)\n",
    "        clf.fit(X_train,Y_train)\n",
    "        traing_score.append(clf.score(X_train,Y_train))\n",
    "        testing_score.append(clf.score(X_test,Y_test))\n",
    "        \n",
    "    ## 绘图 \n",
    "    ax.plot(max_features, traing_score,  label='Traing score')\n",
    "    ax.plot(max_features, testing_score, label='Testing score')\n",
    "    ax.set_xlabel('max_feature')\n",
    "    ax.set_ylabel('score')\n",
    "    ax.legend(loc='lower right')\n",
    "    ax.set_title('GradientBoostingRegressor')    \n",
    "    plt.show()\n",
    "\n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_max_feature(X_train,X_test,Y_train,Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def test_GBRT_loss(*data):\n",
    "    '''\n",
    "    测试 GradientBoostingRegressor 的预测性能随不同的损失函数和 alpha 参数的影响\n",
    "    '''\n",
    "    X_train,X_test,y_train,y_test=data\n",
    "    fig=plt.figure()\n",
    "    fig.set_figwidth(15)\n",
    "    fig.set_figheight(10)\n",
    "    nums=np.arange(1,200,step=2)\n",
    "    ########## 绘制 huber ######\n",
    "    ax=fig.add_subplot(2,1,1)\n",
    "    alphas=np.linspace(0.01,1.0,endpoint=False,num=5)\n",
    "    for alpha in alphas:\n",
    "            testing_scores=[]\n",
    "            training_scores=[]\n",
    "            for num in nums:\n",
    "                    regr=ensemble.GradientBoostingRegressor(n_estimators=num, loss='huber',alpha=alpha)\n",
    "                    regr.fit(X_train,y_train)\n",
    "                    training_scores.append(regr.score(X_train,y_train))\n",
    "                    testing_scores.append(regr.score(X_test,y_test))\n",
    "            ax.plot(nums,training_scores,label=\"Training Score:alpha=%f\"%alpha)\n",
    "            ax.plot(nums,testing_scores,label=\"Testing Score:alpha=%f\"%alpha)\n",
    "    ax.set_xlabel(\"estimator num\")\n",
    "    ax.set_ylabel(\"score\")\n",
    "    ax.legend(loc=\"lower right\",framealpha=0.4)\n",
    "    ax.set_ylim(0,1.05)\n",
    "    ax.set_title(\"loss=%huber\")\n",
    "    plt.suptitle(\"GradientBoostingRegressor\")\n",
    "    #### 绘制 ls  和 lad\n",
    "    ax=fig.add_subplot(2,1,2)\n",
    "    for loss in ['ls','lad']:\n",
    "        testing_scores=[]\n",
    "        training_scores=[]\n",
    "        for num in nums:\n",
    "                regr=ensemble.GradientBoostingRegressor(n_estimators=num,loss=loss)\n",
    "                regr.fit(X_train,y_train)\n",
    "                training_scores.append(regr.score(X_train,y_train))\n",
    "                testing_scores.append(regr.score(X_test,y_test))\n",
    "        ax.plot(nums,training_scores,label=\"Training Score:loss=%s\"%loss)\n",
    "        ax.plot(nums,testing_scores,label=\"Testing Score:loss=%s\"%loss)\n",
    "    ax.set_xlabel(\"estimator num\")\n",
    "    ax.set_ylabel(\"score\")\n",
    "    ax.legend(loc=\"lower right\",framealpha=0.4)\n",
    "    ax.set_ylim(0,1.05)\n",
    "    ax.set_title(\"loss=ls,lad\")\n",
    "    plt.suptitle(\"GradientBoostingRegressor\")\n",
    "    plt.show()\n",
    "    \n",
    "# 开始测试：\n",
    "X_train,X_test,Y_train,Y_test = load_data()\n",
    "test_GBRT_loss(X_train,X_test,Y_train,Y_test)"
   ]
  }
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